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Simplifying -2r + -3s + -7t + -9 = 5s + -10t + 9 Reorder the terms: -9 + -2r + -3s + -7t = 5s + -10t + 9 Reorder the terms: -9 + -2r + -3s + -7t = 9 + 5s + -10t Solving -9 + -2r + -3s + -7t = 9 + 5s + -10t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -2r + -3s + 9 + -7t = 9 + 5s + 9 + -10t Reorder the terms: -9 + 9 + -2r + -3s + -7t = 9 + 5s + 9 + -10t Combine like terms: -9 + 9 = 0 0 + -2r + -3s + -7t = 9 + 5s + 9 + -10t -2r + -3s + -7t = 9 + 5s + 9 + -10t Reorder the terms: -2r + -3s + -7t = 9 + 9 + 5s + -10t Combine like terms: 9 + 9 = 18 -2r + -3s + -7t = 18 + 5s + -10t Add '3s' to each side of the equation. -2r + -3s + 3s + -7t = 18 + 5s + 3s + -10t Combine like terms: -3s + 3s = 0 -2r + 0 + -7t = 18 + 5s + 3s + -10t -2r + -7t = 18 + 5s + 3s + -10t Combine like terms: 5s + 3s = 8s -2r + -7t = 18 + 8s + -10t Add '7t' to each side of the equation. -2r + -7t + 7t = 18 + 8s + -10t + 7t Combine like terms: -7t + 7t = 0 -2r + 0 = 18 + 8s + -10t + 7t -2r = 18 + 8s + -10t + 7t Combine like terms: -10t + 7t = -3t -2r = 18 + 8s + -3t Divide each side by '-2'. r = -9 + -4s + 1.5t Simplifying r = -9 + -4s + 1.5t
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